unprotected sex questions

I'm 23, me and my SO had sex last night and he came inside of me by accident. So here are my questions: 
1. Can I get the plan B pill at the free clinic?
2. I'm already feeling so nauseous, is that even possible? 
3. I'm on birth control pills but recently got sick about 3 days ago and had to take antibiotics. Did the antibiotics cancel out my birth control? 

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